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Finding the Third Proportional to 108,029 and 235,431

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Solution

The third proportional to 108,029 and 235,431 is: 513,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,029 : 235,431 = 235,431 : x
  2. Step 2: Convert to fraction form
    108,029/235,431 = 235,431/x
  3. Step 3: Cross multiply
    108,029x = 235,431 × 235,431
  4. Step 4: Simplify right side
    108,029x = 55,427,755,761
  5. Step 5: Solve for x
    x = 55,427,755,761/108,029
  6. Step 6: Final answer
    x = 513,082.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.